Uniqueness of 3D Affine Reconstruction of Lines with Affine Cameras

Long Quan (1) , Roger Mohr (1)

1 MOVI - Modeling, localization, recognition and interpretation in computer vision

We prove that 3D affine reconstruction of lines with uncalibrated affine cameras is subject to a two way ambiguity. The key idea is to convert 3D affine reconstruction of "lines" into 2D projective reconstruction of "points". Then, the ambiguity of 2D projective reconstruction is analyzed by using the full tensorial representation of three uncalibrated 1D views.

Domaines: Vision par ordinateur et reconnaissance de formes [cs.CV]

Long Quan, Roger Mohr. Uniqueness of 3D Affine Reconstruction of Lines with Affine Cameras. 7th International Conference on Computer Analysis of Images and Patterns (CAIP '97), Sep 1997, Kiel, Germany. pp.231--238, ⟨10.1007/3-540-63460-6_122⟩. ⟨inria-00548347⟩